Russell J. Donnelly
541-346-4226 (Tel)
541-346-5861 (Fax)


 


Table 1 : : 2 : : 3 : : 4 : : 5

The Calculated Thermodynamic Properties of Superfluid Helium-4
James S. Brooks and Russell J. Donnelly

Table 16. Normal fluid ratio
Temp. Pressure (atm)
(K) .00 2.50 5.00 7.50 10.00 12.50 15.00 17.50 20.00 22.50 25.00

0.10

1.2056E-8

8.0033E-9

5.7235E-9

4.3103E-9

3.3718E-9

2.7155E-9

2.2379E-9

1.8791E-9

1.6023E-9

1.3841E-9

1.2089E-9
0.15 6.0230E-8 4.0259E-8 2.8892E-8 2.1795E-8 1.7061E-8 1.3740E-8 1.1319E-8 9.4970E-9 8.0900E-9 6.9800E-9 6.0880E-9
0.20 1.8736E-7 1.2632E-7 9.1080E-8 6.8896E-8 5.4019E-8 4.3552E-8 3.5901E-8 3.0136E-8 2.5680E-8 2.2160E-8 1.9331E-8
0.25 4.4947E-7 3.0593E-7 2.2181E-7 1.6832E-7 1.3223E-7 1.0675E-7 8.8073E-8 7.3974E-8 6.3064E-8 5.4443E-8 4.7510E-8
0.30 9.1502E-7 6.2928E-7 4.5896E-7 3.4961E-7 2.7535E-7 2.2274E-7 1.8415E-7 1.5506E-7 1.3268E-7 1.1522E-7 1.0157E-7
0.35 1.6650E-6 1.1579E-6 8.5123E-7 6.5317E-7 5.1907E-7 4.2525E-7 3.5829E-7 3.1067E-7 2.7806E-7 2.5862E-7 2.5256E-7
0.40 2.8077E-6 1.9866E-6 1.4927E-6 1.1844E-6 9.9105E-7 8.7647E-7 8.1818E-7 8.1146E-7 8.5558E-7 9.6126E-7 1.1425E-6
0.45 4.6024E-6 3.4076E-6 2.7637E-6 2.4643E-6 2.4011E-6 2.5226E-6 2.7981E-6 3.2544E-6 3.9356E-6 4.9094E-6 6.2743E-6
0.50 7.9980E-6 6.5906E-6 6.2699E-6 6.7121E-6 7.7304E-6 9.2572E-6 1.1250E-5 1.3850E-5 1.7314E-5 2.1896E-5 2.7984E-5
0.55 1.6099E-5 1.5364E-5 1.7158E-5 2.0858E-5 2.6000E-5 3.2499E-5 4.0164E-5 4.9796E-5 6.1921E-5 7.7306E-5 9.7486E-5
0.60 3.7035E-5 3.9595E-5 4.8267E-5 6.1627E-5 7.8250E-5 9.8046E-5 1.2084E-4 1.4814E-4 1.8165E-4 2.2333E-4 2.7709E-4
0.65 8.7917E-5 9.9668E-5 1.2543E-4 1.6150E-4 2.0487E-4 2.5409E-4 3.0939E-4 3.7454E-4 4.5321E-4 5.4990E-4 6.6921E-4
0.70 2.0034E-4 2.3175E-4 2.9350E-4 3.7521E-4 4.7047E-4 5.7774E-4 6.9495E-4 8.3175E-4 9.9226E-4 1.1855E-3 1.4233E-3
0.75 4.2196E-4 4.9333E-4 6.1975E-4 7.8453E-4 9.7070E-4 1.1776E-3 1.3994E-3 1.6548E-3 1.9501E-3 2.3085E-3 2.7334E-3
0.80 8.2922E-4 9.6188E-4 1.2004E-3 1.4988E-3 1.8304E-3 2.1943E-3 2.5833E-3 3.0211E-3 3.5276E-3 4.1261E-3 4.8323E-3
0.85 1.5119E-3 1.7490E-3 2.1528E-3 2.6524E-3 3.2054E-3 3.7973E-3 4.4268E-3 5.1264E-3 5.9368E-3 6.8779E-3 7.9862E-3
0.90 2.5897E-3 2.9821E-3 3.6291E-3 4.4081E-3 5.2665E-3 6.1778E-3 7.1398E-3 8.2044E-3 9.4178E-3 1.0828E-2 1.2469E-2
0.95 4.2309E-3 4.8331E-3 5.7920E-3 6.9466E-3 8.2057E-3 9.5339E-3 1.0940E-2 1.2490E-2 1.4227E-2 1.6248E-2 1.8537E-2
1.00 6.6085E-3 7.4837E-3 8.8402E-3 1.0464E-2 1.2229E-2 1.4084E-2 1.6055E-2 1.8202E-2 2.0616E-2 2.3376E-2 2.6506E-2
1.05 9.9664E-3 1.1203E-2 1.3016E-2 1.5177E-2 1.7525E-2 2.0035E-2 2.2697E-2 2.5559E-2 2.8833E-2 3.2469E-2 3.6608E-2
1.10 1.4502E-2 1.6193E-2 1.8532E-2 2.1276E-2 2.4324E-2 2.7579E-2 3.1062E-2 3.4869E-2 3.9079E-2 4.3820E-2 4.9163E-2
1.15 2.0455E-2 2.2617E-2 2.5497E-2 2.8914E-2 3.2750E-2 3.6919E-2 4.1424E-2 4.6310E-2 5.1708E-2 5.7711E-2 6.4524E-2
1.20 2.7846E-2 3.0663E-2 3.4228E-2 3.8417E-2 4.3146E-2 4.8350E-2 5.3966E-2 6.0184E-2 6.6985E-2 7.4601E-2 8.3280E-2
1.25 3.6943E-2 4.0595E-2 4.5091E-2 5.0139E-2 5.5667E-2 6.1734E-2 6.8482E-2 7.6098E-2 8.4718E-2 9.4295E-2 1.0462E-1
1.30 4.7917E-2 5.2354E-2 5.7652E-2 6.3769E-2 7.0619E-2 7.8231E-2 8.6619E-2 9.5909E-2 1.0635E-1 1.1820E-1 1.3188E-1
1.35 6.0726E-2 6.6378E-2 7.3046E-2 8.0534E-2 8.8818E-2 9.7874E-2 1.0797E-1 1.1924E-1 1.3194E-1 1.4627E-1 1.6230E-1
1.40 7.6541E-2 8.3380E-2 9.1479E-2 1.0059E-1 1.1068E-1 1.2179E-1 1.3415E-1 1.4791E-1 1.6329E-1 1.8063E-1 2.0006E-1
1.45 9.5903E-2 1.0428E-1 1.1392E-1 1.2481E-1 1.3690E-1 1.5031E-1 1.6536E-1 1.8210E-1 2.0127E-1 2.2288E-1 2.4755E-1
1.50 1.1765E-1 1.2758E-1 1.3901E-1 1.5190E-1 1.6635E-1 1.8251E-1 2.0052E-1 2.2072E-1 2.4383E-1 2.7030E-1 3.0101E-1
1.55 1.4120E-1 1.5284E-1 1.6620E-1 1.8151E-1 1.9870E-1 2.1795E-1 2.3923E-1 2.6303E-1 2.8982E-1 3.2079E-1 3.5769E-1
1.60 1.6739E-1 1.8100E-1 1.9655E-1 2.1449E-1 2.3494E-1 2.5785E-1 2.8335E-1 3.1172E-1 3.4378E-1 3.8112E-1 4.2668E-1
1.65 1.9813E-1 2.1395E-1 2.3218E-1 2.5314E-1 2.7730E-1 3.0479E-1 3.3542E-1 3.6997E-1 4.0911E-1 4.5462E-1 5.0945E-1
1.70 2.3454E-1 2.5330E-1 2.7457E-1 2.9923E-1 3.2795E-1 3.6080E-1 3.9780E-1 4.3948E-1 4.8722E-1 5.4395E-1 6.1559E-1
1.75 2.7728E-1 2.9806E-1 3.2180E-1 3.5054E-1 3.8477E-1 4.2431E-1 4.6799E-1 5.1636E-1 5.7167E-1 6.4009E-1 7.3419E-1
1.80 3.2436E-1 3.4894E-1 3.7697E-1 4.1058E-1 4.5091E-1 4.9778E-1 5.5042E-1 6.1005E-1 6.8084E-1 7.7182E-1 9.0026E-1
1.85 3.7699E-1 4.0648E-1 4.4034E-1 4.8018E-1 5.2601E-1 5.7877E-1 6.3997E-1 7.1302E-1 8.0422E-1 9.2673E-1  
1.90 4.3617E-1 4.7078E-1 5.1109E-1 5.5774E-1 6.1192E-1 6.7572E-1 7.5368E-1 8.5172E-1      
1.95 5.0116E-1 5.4155E-1 5.8881E-1 6.4384E-1 7.0897E-1 7.8996E-1 8.9376E-1        
2.00 5.8158E-1 6.2796E-1 6.8281E-1 7.4811E-1 8.2823E-1            
2.05 6.7397E-1 7.2845E-1 7.9181E-1                
2.10 7.6967E-1 8.3239E-1                  

 

Table 17. Superfluid density (g cm-3)
Temp. Pressure (atm)
(K) .00 2.50 5.00 7.50 10.00 12.50 15.00 17.50 20.00 22.50 25.00

0.10

1.4513E-1

1.4925E-1

1.5284E-1

1.5603E-1

1.5892E-1

1.6157E-1

1.6403E-1

1.6633E-1

1.6849E-1

1.7053E-1

1.7246E-1
0.15 1.4513E-1 1.4925E-1 1.5284E-1 1.5603E-1 1.5892E-1 1.6157E-1 1.6403E-1 1.6633E-1 1.6849E-1 1.7053E-1 1.7246E-1
0.20 1.4513E-1 1.4925E-1 1.5284E-1 1.5603E-1 1.5892E-1 1.6157E-1 1.6403E-1 1.6633E-1 1.6849E-1 1.7053E-1 1.7246E-1
0.25 1.4513E-1 1.4925E-1 1.5283E-1 1.5603E-1 1.5892E-1 1.6157E-1 1.6403E-1 1.6633E-1 1.6849E-1 1.7053E-1 1.7246E-1
0.30 1.4513E-1 1.4925E-1 1.5283E-1 1.5602E-1 1.5892E-1 1.6157E-1 1.6403E-1 1.6633E-1 1.6849E-1 1.7053E-1 1.7246E-1
0.35 1.4513E-1 1.4925E-1 1.5283E-1 1.5602E-1 1.5891E-1 1.6157E-1 1.6403E-1 1.6632E-1 1.6848E-1 1.7052E-1 1.7246E-1
0.40 1.4513E-1 1.4925E-1 1.5283E-1 1.5602E-1 1.5891E-1 1.6157E-1 1.6403E-1 1.6632E-1 1.6848E-1 1.7052E-1 1.7246E-1
0.45 1.4513E-1 1.4925E-1 1.5283E-1 1.5602E-1 1.5891E-1 1.6156E-1 1.6402E-1 1.6632E-1 1.6848E-1 1.7052E-1 1.7246E-1
0.50 1.4512E-1 1.4924E-1 1.5282E-1 1.5602E-1 1.5891E-1 1.6156E-1 1.6402E-1 1.6632E-1 1.6848E-1 1.7052E-1 1.7245E-1
0.55 1.4512E-1 1.4924E-1 1.5282E-1 1.5601E-1 1.5890E-1 1.6156E-1 1.6402E-1 1.6631E-1 1.6847E-1 1.7051E-1 1.7244E-1
0.60 1.4512E-1 1.4923E-1 1.5281E-1 1.5600E-1 1.5889E-1 1.6154E-1 1.6400E-1 1.6630E-1 1.6845E-1 1.7048E-1 1.7241E-1
0.65 1.4511E-1 1.4922E-1 1.5280E-1 1.5599E-1 1.5887E-1 1.6152E-1 1.6397E-1 1.6626E-1 1.6841E-1 1.7043E-1 1.7235E-1
0.70 1.4509E-1 1.492E-1 1.5277E-1 1.5595E-1 1.5883E-1 1.6147E-1 1.6391E-1 1.6619E-1 1.6832E-1 1.7033E-1 1.7223E-1
0.75 1.4505E-1 1.4916E-1 1.5272E-1 1.5589E-1 1.5875E-1 1.6137E-1 1.6380E-1 1.6606E-1 1.6817E-1 1.7015E-1 1.7201E-1
0.80 1.4499E-1 1.4909E-1 1.5263E-1 1.5578E-1 1.5862E-1 1.6122E-1 1.6361E-1 1.6584E-1 1.6791E-1 1.6985E-1 1.7166E-1
0.85 1.4489E-1 1.4897E-1 1.5249E-1 1.5560E-1 1.5841E-1 1.6096E-1 1.6332E-1 1.6550E-1 1.6752E-1 1.6940E-1 1.7114E-1
0.90 1.4473E-1 1.4878E-1 1.5226E-1 1.5533E-1 1.5809E-1 1.6059E-1 1.6289E-1 1.6500E-1 1.6695E-1 1.6874E-1 1.7039E-1
0.95 1.4449E-1 1.4851E-1 1.5194E-1 1.5494E-1 1.5763E-1 1.6006E-1 1.6228E-1 1.6431E-1 1.6617E-1 1.6785E-1 1.6937E-1
1.00 1.4415E-1 1.4811E-1 1.5148E-1 1.5441E-1 1.5701E-1 1.5935E-1 1.6147E-1 1.6339E-1 1.6512E-1 1.6666E-1 1.6803E-1
1.05 1.4366E-1 1.4756E-1 1.5085E-1 1.5368E-1 1.5618E-1 1.5841E-1 1.6041E-1 1.6220E-1 1.6377E-1 1.6516E-1 1.6633E-1
1.10 1.4300E-1 1.4682E-1 1.5002E-1 1.5275E-1 1.5513E-1 1.5722E-1 1.5907E-1 1.6069E-1 1.6209E-1 1.6327E-1 1.6422E-1
1.15 1.4214E-1 1.4587E-1 1.4897E-1 1.5158E-1 1.5382E-1 1.5575E-1 1.5741E-1 1.5883E-1 1.6001E-1 1.6096E-1 1.6163E-1
1.20 1.4107E-1 1.4468E-1 1.4765E-1 1.5012E-1 1.5220E-1 1.5394E-1 1.5540E-1 1.5658E-1 1.5750E-1 1.5814E-1 1.5847E-1
1.25 1.3975E-1 1.4321E-1 1.4601E-1 1.4833E-1 1.5025E-1 1.5183E-1 1.5308E-1 1.5400E-1 1.5458E-1 1.5486E-1 1.5486E-1
1.30 1.3817E-1 1.4148E-1 1.4412E-1 1.4624E-1 1.4792E-1 1.4922E-1 1.5017E-1 1.5077E-1 1.5101E-1 1.5086E-1 1.5025E-1
1.35 1.3632E-1 1.394E-1 1.4180E-1 1.4367E-1 1.4508E-1 1.4611E-1 1.4673E-1 1.4697E-1 1.4679E-1 1.4616E-1 1.4509E-1
1.40 1.3403E-1 1.3689E-1 1.3902E-1 1.4058E-1 1.4167E-1 1.4231E-1 1.4252E-1 1.4229E-1 1.4159E-1 1.4039E-1 1.3868E-1
1.45 1.3123E-1 1.3379E-1 1.3563E-1 1.3686E-1 1.3757E-1 1.3778E-1 1.3748E-1 1.3669E-1 1.3528E-1 1.3328E-1 1.3057E-1
1.50 1.2809E-1 1.3035E-1 1.3184E-1 1.3269E-1 1.3296E-1 1.3266E-1 1.3180E-1 1.3035E-1 1.2821E-1 1.2529E-1 1.2144E-1
1.55 1.2469E-1 1.2661E-1 1.2774E-1 1.2814E-1 1.2789E-1 1.2701E-1 1.2554E-1 1.2341E-1 1.2055E-1 1.1676E-1 1.1174E-1
1.60 1.2090E-1 1.2244E-1 1.2315E-1 1.2306E-1 1.2221E-1 1.2065E-1 1.1839E-1 1.1540E-1 1.1154E-1 1.0655E-1 9.9891E-2
1.65 1.1646E-1 1.1756E-1 1.1776E-1 1.1710E-1 1.1556E-1 1.1315E-1 1.0993E-1 1.0578E-1 1.0059E-1 9.4047E-2 8.5620E-2
1.70 1.1120E-1 1.1173E-1 1.1134E-1 1.0997E-1 1.0758E-1 1.0417E-1 9.9760E-2 9.4260E-2 8.7445E-2 7.8789E-2 6.7228E-2
1.75 1.0502E-1 1.0509E-1 1.0417E-1 1.0203E-1 9.8610E-2 9.3958E-2 8.8280E-2 8.1480E-2 7.3189E-2 6.2313E-2 4.6593E-2
1.80 9.8205E-2 9.7531E-2 9.5790E-2 9.2710E-2 8.8140E-2 8.2107E-2 7.4740E-2 6.5840E-2 5.4659E-2 3.9602E-2 1.7528E-2
1.85 9.0588E-2 8.8974E-2 8.6130E-2 8.1870E-2 7.6210E-2 6.9000E-2 5.9990E-2 4.8570E-2 3.3617E-2 1.2751E-2  
1.90 8.2016E-2 7.9401E-2 7.5340E-2 6.9770E-2 6.2520E-2 5.3236E-2 4.1140E-2 2.5164E-2      
1.95 7.2596E-2 6.8847E-2 6.3450E-2 5.6290E-2 4.6990E-2 3.4596E-2 1.7795E-2        
2.00 6.0925E-2 5.5930E-2 4.9020E-2 3.9890E-2 2.7802E-2            
2.05 4.7502E-2 4.0873E-2 3.2235E-2                
2.10 3.3582E-2 2.5265E-2                  

 

Table 18. Superfluid ratio
Temp. Pressure (atm)
(K) .00 2.50 5.00 7.50 10.00 12.50 15.00 17.50 20.00 22.50 25.00

0.10

1.0000E0

1.0000E0

1.0000E0

1.0000E0

1.0000E0

1.0000E0

1.0000E0

1.0000E0

1.0000E0

1.0000E0

1.0000E0
0.15 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.20 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.25 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.30 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.35 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.40 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.45 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 9.9999E-1
0.50 9.9999E-1 9.9999E-1 9.9999E-1 9.9999E-1 9.9999E-1 9.9999E-1 9.9999E-1 9.9999E-1 9.9998E-1 9.9998E-1 9.9997E-1
0.55 9.9998E-1 9.9998E-1 9.9998E-1 9.9998E-1 9.9997E-1 9.9997E-1 9.9996E-1 9.9995E-1 9.9994E-1 9.9992E-1 9.9990E-1
0.60 9.9996E-1 9.9996E-1 9.9995E-1 9.9994E-1 9.9992E-1 9.9990E-1 9.9988E-1 9.9985E-1 9.9982E-1 9.9978E-1 9.9972E-1
0.65 9.9991E-1 9.9990E-1 9.9987E-1 9.9984E-1 9.9980E-1 9.9975E-1 9.9969E-1 9.9963E-1 9.9955E-1 9.9945E-1 9.9933E-1
0.70 9.9980E-1 9.9977E-1 9.9971E-1 9.9962E-1 9.9953E-1 9.9942E-1 9.9931E-1 9.9917E-1 9.9901E-1 9.9881E-1 9.9858E-1
0.75 9.9958E-1 9.9951E-1 9.9938E-1 9.9922E-1 9.9903E-1 9.9882E-1 9.9860E-1 9.9835E-1 9.9805E-1 9.9769E-1 9.9727E-1
0.80 9.9917E-1 9.9904E-1 9.9880E-1 9.9850E-1 9.9817E-1 9.9781E-1 9.9742E-1 9.9698E-1 9.9647E-1 9.9587E-1 9.9517E-1
0.85 9.9849E-1 9.9825E-1 9.9785E-1 9.9735E-1 9.9679E-1 9.9620E-1 9.9557E-1 9.9487E-1 9.9406E-1 9.9312E-1 9.9201E-1
0.90 9.9741E-1 9.9702E-1 9.9637E-1 9.9559E-1 9.9473E-1 9.9382E-1 9.9286E-1 9.9180E-1 9.9058E-1 9.8917E-1 9.8753E-1
0.95 9.9577E-1 9.9517E-1 9.9421E-1 9.9305E-1 9.9179E-1 9.9047E-1 9.8906E-1 9.8751E-1 9.8577E-1 9.8375E-1 9.8146E-1
1.00 9.9339E-1 9.9252E-1 9.9116E-1 9.8954E-1 9.8777E-1 9.8592E-1 9.8395E-1 9.8180E-1 9.7938E-1 9.7662E-1 9.7349E-1
1.05 9.9003E-1 9.8880E-1 9.8698E-1 9.8482E-1 9.8248E-1 9.7996E-1 9.7730E-1 9.7444E-1 9.7117E-1 9.6753E-1 9.6339E-1
1.10 9.8550E-1 9.8000E-1 9.8147E-1 9.7872E-1 9.7568E-1 9.7242E-1 9.6894E-1 9.6513E-1 9.6092E-1 9.5618E-1 9.5084E-1
1.15 9.7955E-1 9.7738E-1 9.7450E-1 9.7109E-1 9.6725E-1 9.6308E-1 9.5858E-1 9.5369E-1 9.4829E-1 9.4229E-1 9.3548E-1
1.20 9.7215E-1 9.6934E-1 9.6577E-1 9.6158E-1 9.5685E-1 9.5165E-1 9.4603E-1 9.3982E-1 9.3301E-1 9.2540E-1 9.1672E-1
1.25 9.6306E-1 9.5940E-1 9.5491E-1 9.4986E-1 9.4433E-1 9.3827E-1 9.3152E-1 9.2390E-1 9.1528E-1 9.0570E-1 8.9538E-1
1.30 9.5208E-1 9.4765E-1 9.4235E-1 9.3623E-1 9.2938E-1 9.2177E-1 9.1338E-1 9.0409E-1 8.9365E-1 8.8180E-1 8.6812E-1
1.35 9.3927E-1 9.3362E-1 9.2695E-1 9.1947E-1 9.1118E-1 9.0213E-1 8.9203E-1 8.8076E-1 8.6806E-1 8.5373E-1 8.3770E-1
1.40 9.2346E-1 9.1662E-1 9.0852E-1 8.9941E-1 8.8932E-1 8.7821E-1 8.6585E-1 8.5209E-1 8.3671E-1 8.1937E-1 7.9994E-1
1.45 9.0410E-1 8.9572E-1 8.8608E-1 8.7519E-1 8.6310E-1 8.4969E-1 8.3464E-1 8.1790E-1 7.9873E-1 7.7712E-1 7.5245E-1
1.50 8.8235E-1 8.7242E-1 8.6099E-1 8.4810E-1 8.3365E-1 8.1749E-1 7.9948E-1 7.7928E-1 7.5617E-1 7.2970E-1 6.9899E-1
1.55 8.5880E-1 8.4716E-1 8.3380E-1 8.1849E-1 8.0130E-1 7.8205E-1 7.6077E-1 7.3697E-1 7.1018E-1 6.7921E-1 6.4231E-1
1.60 8.3261E-1 8.1900E-1 8.0345E-1 7.8551E-1 7.6506E-1 7.4215E-1 7.1665E-1 6.8828E-1 6.5622E-1 6.1888E-1 5.7332E-1
1.65 8.0187E-1 7.8605E-1 7.6782E-1 7.4686E-1 7.2270E-1 6.9521E-1 6.6458E-1 6.3003E-1 5.9089E-1 5.4538E-1 4.9055E-1
1.70 7.6546E-1 7.4670E-1 7.2543E-1 7.0077E-1 6.7205E-1 6.3920E-1 6.0220E-1 5.6052E-1 5.1278E-1 4.5605E-1 3.8441E-1
1.75 7.2272E-1 7.0194E-1 6.7820E-1 6.4946E-1 6.1523E-1 5.7569E-1 5.3201E-1 4.8364E-1 4.2833E-1 3.5991E-1 2.6581E-1
1.80 6.7564E-1 6.5106E-1 6.2303E-1 5.8942E-1 5.4909E-1 5.0222E-1 4.4958E-1 3.8995E-1 3.1916E-1 2.2818E-1 9.9739E-2
1.85 6.2301E-1 5.9352E-1 5.5966E-1 5.1982E-1 4.7399E-1 4.2123E-1 3.6003E-1 2.8698E-1 1.9578E-1 7.3265E-2  
1.90 5.6383E-1 5.2922E-1 4.8891E-1 4.4226E-1 3.8808E-1 3.2428E-1 2.4632E-1 1.4828E-1      
1.95 4.9884E-1 4.5845E-1 4.1119E-1 3.5616E-1 2.9103E-1 2.1004E-1 1.0624E-1        
2.00 4.1842E-1 3.7204E-1 3.1719E-1 2.5189E-1 1.7177E-1            
2.05 3.2603E-1 2.7155E-1 2.0819E-1                
2.10 2.3033E-1 1.6761E-1                  

 

Table 19. Velocity of second sound (m s-1)
Temp. Pressure (atm)
(K) .00 2.50 5.00 7.50 10.00 12.50 15.00 17.50 20.00 22.50 25.00

0.10

1.3824E2

1.4903E2

1.5845E2

1.6693E2

1.7463E2

1.8168E2

1.8821E2

1.9429E2

1.9998E2

2.0534E2

2.1041E2
0.15 1.3903E2 1.4936E2 1.5865E2 1.6700E2 1.7466E2 1.8174E2 1.8832E2 1.9450E2 2.0034E2 2.0589E2 2.1119E2
0.20 1.3985E2 1.4980E2 1.5877E2 1.6695E2 1.7448E2 1.8146E2 1.8797E2 1.9408E2 1.9984E2 2.0530E2 2.1050E2
0.25 1.4077E2 1.5024E2 1.5890E2 1.6688E2 1.7427E2 1.8114E2 1.8758E2 1.9362E2 1.9934E2 2.0476E2 2.0991E2
0.30 1.4171E2 1.5067E2 1.5899E2 1.6673E2 1.7393E2 1.8064E2 1.8689E2 1.9270E2 1.9804E2 2.0284E2 2.0692E2
0.35 1.4259E2 1.5098E2 1.5882E2 1.6601E2 1.7246E2 1.7801E2 1.8245E2 1.8538E2 1.8628E2 1.8435E2 1.7863E2
0.40 1.4296E2 1.5030E2 1.5650E2 1.6092E2 1.6291E2 1.6179E2 1.5746E2 1.4946E2 1.3817E2 1.2410E2 1.0867E2
0.45 1.4074E2 1.4484E2 1.4519E2 1.4070E2 1.3179E2 1.1982E2 1.0659E2 9.3018E1 7.9840E1 6.7614E1 5.6589E1
0.50 1.3093E2 1.2776E2 1.1801E2 1.0403E2 8.9188E1 7.5449E1 6.3712E1 5.3606E1 4.4868E1 3.7413E1 3.1069E1
0.55 1.1028E2 9.9793E1 8.4701E1 6.9596E1 5.6929E1 4.6796E1 3.8917E1 3.2509E1 2.7271E1 2.2983E1 1.9415E1
0.60 8.4688E1 7.2151E1 5.8286E1 4.6462E1 3.7493E1 3.0805E1 2.5783E1 2.1869E1 1.8755E1 1.6256E1 1.4268E1
0.65 6.2548E1 5.1687E1 4.1006E1 3.2634E1 2.6568E1 2.2213E1 1.9041E1 1.6608E1 1.4723E1 1.3248E1 1.2071E1
0.70 4.6564E1 3.8141E1 3.0434E1 2.4637E1 2.0586E1 1.7708E1 1.5663E1 1.4108E1 1.2923E1 1.1970E1 1.1233E1
0.75 3.5867E1 2.9636E1 2.4126E1 2.0107E1 1.7353E1 1.5413E1 1.4026E1 1.2987E1 1.2181E1 1.1545E1 1.1050E1
0.80 2.8910E1 2.4385E1 2.0442E1 1.7614E1 1.5663E1 1.4308E1 1.3328E1 1.2599E1 1.2013E1 1.1567E1 1.1198E1
0.85 2.4600E1 2.1183E1 1.8317E1 1.6281E1 1.4860E1 1.3867E1 1.3146E1 1.2596E1 1.2163E1 1.1813E1 1.1527E1
0.90 2.1815E1 1.9251E1 1.7149E1 1.5636E1 1.4577E1 1.3819E1 1.3253E1 1.2810E1 1.2475E1 1.2185E1 1.1975E1
0.95 2.0068E1 1.8136E1 1.6566E1 1.5413E1 1.4589E1 1.3996E1 1.3531E1 1.3171E1 1.2882E1 1.2648E1 1.2460E1
1.00 1.8616E1 1.7136E1 1.6024E1 1.5214E1 1.4608E1 1.4137E1 1.3763E1 1.3462E1 1.3214E1 1.3017E1 1.2847E1
1.05 1.8105E1 1.6934E1 1.6091E1 1.5469E1 1.4974E1 1.4572E1 1.4236E1 1.3953E1 1.3729E1 1.3539E1 1.3365E1
1.10 1.7954E1 1.6984E1 1.6309E1 1.5805E1 1.5390E1 1.5031E1 1.4724E1 1.4450E1 1.4225E1 1.4026E1 1.3832E1
1.15 1.8050E1 1.7185E1 1.6580E1 1.6149E1 1.5817E1 1.5530E1 1.5260E1 1.4989E1 1.4739E1 1.4506E1 1.4319E1
1.20 1.8273E1 1.7506E1 1.6966E1 1.6563E1 1.6247E1 1.5965E1 1.5695E1 1.5437E1 1.5174E1 1.4917E1 1.4668E1
1.25 1.8609E1 1.7880E1 1.7349E1 1.6938E1 1.6597E1 1.6302E1 1.6023E1 1.5762E1 1.5503E1 1.5234E1 1.4954E1
1.30 1.8884E1 1.8189E1 1.7645E1 1.7216E1 1.6863E1 1.6556E1 1.6260E1 1.5981E1 1.5706E1 1.5429E1 1.5162E1
1.35 1.9022E1 1.8371E1 1.7860E1 1.7428E1 1.7050E1 1.6703E1 1.6372E1 1.6063E1 1.5748E1 1.5432E1 1.5089E1
1.40 1.9215E1 1.8583E1 1.8079E1 1.7649E1 1.7262E1 1.6895E1 1.6541E1 1.6190E1 1.5819E1 1.5436E1 1.5025E1
1.45 1.9560E1 1.8954E1 1.8455E1 1.7998E1 1.7569E1 1.7151E1 1.6757E1 1.6365E1 1.5967E1 1.5532E1 1.5021E1
1.50 1.9997E1 1.9377E1 1.8855E1 1.8359E1 1.7874E1 1.7402E1 1.6949E1 1.6501E1 1.6043E1 1.5532E1 1.4909E1
1.55 2.0318E1 1.9683E1 1.9120E1 1.8582E1 1.8040E1 1.7496E1 1.6965E1 1.6426E1 1.5882E1 1.5280E1 1.4572E1
1.60 2.0361E1 1.9694E1 1.9100E1 1.8525E1 1.7931E1 1.7321E1 1.6706E1 1.6077E1 1.5421E1 1.4688E1 1.3808E1
1.65 2.0157E1 1.9511E1 1.8927E1 1.8317E1 1.7655E1 1.6964E1 1.6274E1 1.5573E1 1.4818E1 1.3926E1 1.2781E1
1.70 1.9912E1 1.9244E1 1.8623E1 1.7960E1 1.7231E1 1.6455E1 1.5664E1 1.4833E1 1.3894E1 1.2740E1 1.1214E1
1.75 1.9670E1 1.8919E1 1.8205E1 1.7464E1 1.6690E1 1.5860E1 1.4957E1 1.3946E1 1.2753E1 1.1245E1 9.1909E0
1.80 1.9365E1 1.8527E1 1.7690E1 1.6854E1 1.5981E1 1.5012E1 1.3874E1 1.2523E1 1.0868E1 8.7391E0 5.4691E0
1.85 1.8964E1 1.8007E1 1.7035E1 1.6059E1 1.5027E1 1.3823E1 1.2348E1 1.0535E1 8.2274E0 4.7375E0  
1.90 1.8188E1 1.7168E1 1.6094E1 1.4953E1 1.3663E1 1.2079E1 1.0065E1 7.3777E0      
1.95 1.7115E1 1.6005E1 1.4817E1 1.3469E1 1.1807E1 9.6227E0 6.4804E0        
2.00 1.5814E1 1.4546E1 1.3160E1 1.1447E1 9.1281E0            
2.05 1.4131E1 1.2535E1 1.0760E1                
2.10 1.2024E1 9.9886E0                  

 

Table 20. Velocity of fourth sound (mb s-1)
Temp. Pressure (atm)
(K) .00 2.50 5.00 7.50 10.00 12.50 15.00 17.50 20.00 22.50 25.00

0.10

2.3821E2

2.5746E2

2.7422E2

2.8916E2

3.0271E2

3.1515E2

3.2669E2

3.3747E2

3.4760E2

3.5718E2

3.6627E2
0.15 2.3821E2 2.5746E2 2.7422E2 2.8916E2 3.0271E2 3.1515E2 3.2669E2 3.3747E2 3.4760E2 3.5718E2 3.6627E2
0.20 2.3821E2 2.5746E2 2.7422E2 2.8916E2 3.0271E2 3.1515E2 3.2669E2 3.3747E2 3.4760E2 3.5718E2 3.6627E2
0.25 2.3821E2 2.5746E2 2.7422E2 2.8916E2 3.0271E2 3.1515E2 3.2669E2 3.3747E2 3.4760E2 3.5718E2 3.6627E2
0.30 2.3821E2 2.5746E2 2.7422E2 2.8916E2 3.0271E2 3.1515E2 3.2669E2 3.3747E2 3.4760E2 3.5718E2 3.6627E2
0.35 2.3821E2 2.5746E2 2.7422E2 2.8916E2 3.0271E2 3.1515E2 3.2669E2 3.3747E2 3.4760E2 3.5718E2 3.6627E2
0.40 2.3821E2 2.5746E2 2.7422E2 2.8916E2 3.0271E2 3.1515E2 3.2669E2 3.3747E2 3.4760E2 3.5718E2 3.6627E2
0.45 2.3820E2 2.5746E2 2.7422E2 2.8916E2 3.0271E2 3.1515E2 3.2669E2 3.3746E2 3.4760E2 3.5717E2 3.6627E2
0.50 2.3820E2 2.5745E2 2.7421E2 2.8916E2 3.0271E2 3.1515E2 3.2668E2 3.3746E2 3.4759E2 3.5717E2 3.6626E2
0.55 2.3820E2 2.5745E2 2.7421E2 2.8915E2 3.0270E2 3.1514E2 3.2667E2 3.3745E2 3.4758E2 3.5716E2 3.6625E2
0.60 2.3819E2 2.5744E2 2.7420E2 2.8914E2 3.0269E2 3.1512E2 3.2666E2 3.3743E2 3.4756E2 3.5712E2 3.6621E2
0.65 2.3817E2 2.5742E2 2.7418E2 2.8911E2 3.0266E2 3.1509E2 3.2662E2 3.3738E2 3.4750E2 3.5706E2 3.6613E2
0.70 2.3814E2 2.5738E2 2.7414E2 2.8907E2 3.0261E2 3.1503E2 3.2655E2 3.3730E2 3.4740E2 3.5694E2 3.6598E2
0.75 2.3809E2 2.5733E2 2.7407E2 2.8899E2 3.0252E2 3.1493E2 3.2642E2 3.3715E2 3.4722E2 3.5673E2 3.6573E2
0.80 2.3801E2 2.5723E2 2.7397E2 2.8888E2 3.0238E2 3.1476E2 3.2622E2 3.3690E2 3.4693E2 3.5639E2 3.6534E2
0.85 2.3787E2 2.5708E2 2.7381E2 2.8869E2 3.0216E2 3.1450E2 3.2591E2 3.3653E2 3.4650E2 3.5588E2 3.6473E2
0.90 2.3766E2 2.5687E2 2.7357E2 2.8843E2 3.0185E2 3.1413E2 3.2545E2 3.3599E2 3.4587E2 3.5516E2 3.6387E2
0.95 2.3735E2 2.5657E2 2.7324E2 2.8805E2 3.0140E2 3.1360E2 3.2483E2 3.3524E2 3.4501E2 3.5417E2 3.6271E2
1.00 2.3695E2 2.5613E2 2.7277E2 2.8752E2 3.0080E2 3.1289E2 3.2398E2 3.3424E2 3.4384E2 3.5285E2 3.6123E2
1.05 2.3639E2 2.5554E2 2.7214E2 2.8682E2 3.0000E2 3.1196E2 3.2288E2 3.3296E2 3.4238E2 3.5118E2 3.5925E2
1.10 2.3571E2 2.5476E2 2.7129E2 2.8589E2 2.9895E2 3.1077E2 3.2150E2 3.3132E2 3.4056E2 3.4916E2 3.5673E2
1.15 2.3478E2 2.5381E2 2.7023E2 2.8471E2 2.9765E2 3.0928E2 3.1978E2 3.2935E2 3.3827E2 3.4655E2 3.5381E2
1.20 2.3376E2 2.5259E2 2.6888E2 2.8322E2 2.9599E2 3.0743E2 3.1768E2 3.2693E2 3.3555E2 3.4349E2 3.5004E2
1.25 2.3244E2 2.5117E2 2.6725E2 2.8136E2 2.9393E2 3.0514E2 3.1513E2 3.2412E2 3.3234E2 3.3975E2 3.4581E2
1.30 2.3092E2 2.4942E2 2.6534E2 2.7926E2 2.9153E2 3.0238E2 3.1191E2 3.2041E2 3.2829E2 3.3537E2 3.4102E2
1.35 2.2919E2 2.4742E2 2.6300E2 2.7658E2 2.8852E2 2.9900E2 3.0813E2 3.1611E2 3.2333E2 3.2966E2 3.3403E2
1.40 2.2692E2 2.4497E2 2.6025E2 2.7347E2 2.8495E2 2.9489E2 3.0341E2 3.1070E2 3.1727E2 3.2296E2 3.2664E2
1.45 2.2433E2 2.4191E2 2.5679E2 2.6957E2 2.8057E2 2.8996E2 2.9783E2 3.0438E2 3.1003E2 3.1456E2 3.1670E2
1.50 2.2138E2 2.3850E2 2.5293E2 2.6523E2 2.7562E2 2.8427E2 2.9129E2 2.9682E2 3.0166E2 3.0526E2 3.0534E2
1.55 2.1818E2 2.3470E2 2.4862E2 2.6032E2 2.7005E2 2.7792E2 2.8400E2 2.8831E2 2.9178E2 2.9390E2 2.9177E2
1.60 2.1472E2 2.3037E2 2.4368E2 2.5477E2 2.6369E2 2.7061E2 2.7548E2 2.7831E2 2.8020E2 2.8033E2 2.7470E2
1.65 2.1037E2 2.2539E2 2.3779E2 2.4798E2 2.5601E2 2.6179E2 2.6527E2 2.6624E2 2.6570E2 2.6275E2 2.5174E2
1.70 2.0520E2 2.1925E2 2.3069E2 2.3978E2 2.4654E2 2.5084E2 2.5235E2 2.5085E2 2.4742E2 2.4040E2 2.2284E2
1.75 1.9923E2 2.1204E2 2.2234E2 2.3020E2 2.3557E2 2.3796E2 2.3698E2 2.3225E2 2.2499E2 2.1241E2 1.8340E2
1.80 1.9265E2 2.0670E2 2.1233E2 2.1852E2 2.2208E2 2.2231E2 2.1811E2 2.0852E2 1.9419E2 1.6904E2 1.1055E2
1.85 1.8482E2 1.9408E2 2.0069E2 2.0443E2 2.0538E2 2.0274E2 1.9455E2 1.7799E2 1.5145E2 9.5511E1  
1.90 1.7570E2 1.8254E2 1.8695E2 1.8810E2 1.8540E2 1.7753E2 1.6077E2 1.2785E2      
1.95 1.6433E2 1.6940E2 1.7093E2 1.6815E2 1.5993E2 1.4252E2 1.0545E2        
2.00 1.5030E2 1.5150E2 1.4941E2 1.4087E2 1.2235E2            
2.05 1.3180E2 1.2902E2 1.2037E2                
2.10 1.1065E2 1.0084E2                  

 


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